Question

In the below system, solve for y in the first equation.

x + 3y = 6
2x – y = 10

Answer 1

solve for y in x + 3y = 6

x + 3y = 6
3y = -x + 6
y = -x/3 + 6/3.....-x/3 is the same as -1/3x
y = -1/3x + 2

Answer 2

The value of y in the system of the equations is: y = 1/3.

System of Equations

• Given the two linear equations, x + 3y = 6 and 2x – y = 10, we can find y using substitution method.

Thus:

Rewrite x + 3y = 6 to make x the subject of the formula

x = 6 - 3y

Substitute x = 6 - 3y into 2x – y = 10:

2(6 - 3y) – y = 10

12 - 6y = 10

-6y = 10 - 12

-6y = -2

y = -2/-6

y = 1/3

Therefore, the value of y in the system of the equations is: y = 1/3.

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